Uploaded by Kathrina Artaiz Cariaga

FORMULAS-for-PLANE-mensuration

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ANGLES
1 revolution = 360° = 2π rad = 400
grad = 6400 mil
POLYGONS
Perimeter of Regular Polygon
P = sn
Area of Regular Polygon
𝟏
A = 𝟐 𝑷𝒂 or
No apothem but there is a number
of sides
and measures of one side, use :
A=
π’”πŸ 𝒏
πŸπŸ–πŸŽ°
πŸ’ 𝐭𝐚𝐧(
)
𝒏
where s =
A
=
𝒂+𝒃+𝒄
𝟐
√πŸ‘ 𝟐
𝒂
πŸ’
PARALLELOGRAM
P = 2a + 2b
A = bh
A = abSIN𝜽
RHOMBUS
P = 4a
𝟏
𝟐
A = 𝑨𝑩
A = bh
APOTHEM of Regular Polygon
a=
𝒔
πŸπŸ–πŸŽ°
𝟐 𝐭𝐚𝐧(
)
𝒏
Numbers of Diagonals in a Polygon
𝒏
d = 𝟐 (𝒏 − πŸ‘)
Numbers of Triangles formed by
Diagonals drawn through the
same vertex
t = n-2
A = abSIN𝜽
π’†πŸ
π’†πŸ
𝟐
𝟐
a = √( )^𝟐 + ( )^𝟐
π’†πŸ
𝜽 = 𝟐 𝒕𝒂𝒏−𝟏 ( )
π’†πŸ
RECTANGLE
P= 2L + 2W
A = LW
SQUARE
CENTRAL Angle in a Polygon
∅𝒄 =
πŸ‘πŸ”πŸŽ°
𝒏
P=4b
Each Interior Angle of a Polygon
A=𝑏 2
TRAPEZOID
𝒏−𝟐
)180°
𝒏
∅𝑰 = (
1
Sum of Interior Angle
𝑰𝑺 = (n-2)180°
A=2(b1 +b2) h
A= mh
m=
𝑏1+𝑏2
2
TRIANGLE
CIRCLE
Area of Triangle
A
𝟏
= 𝟐 𝒃𝒉
𝟏
A
= 𝟐ab sinθ
A
=√𝒔(𝒔 − 𝒂)(𝒔 − 𝒃)(𝒔 − 𝒄)
Circumference = 2πœ‹π‘Ÿ or πœ‹π‘‘
Area = 2πœ‹π‘Ÿ 2
D = 2r
S= arc length
S= rπœƒ
P = 2r+s
1
2
A = π‘Ÿ2πœƒ
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